Physics 315, Homework assignments

Solutions: 1, 2 3

Solutions: 1, 2, 3, 4

Assignment 3: Due Wednesday, Feb. 18

1.(a) Show that the average power delivered to an underdamped harmonic oscillator is maximum when the frequency of the driving force is equal to the freqency of the undamped oscillator.

(b) Show that in the steady state the average power delivered by the driving force is exactly balanced by the average power delivered by the internal friction force -bv.

2. Referring to Fig. 4.10, find the steady state motion when mass 1 is driven by the force F₀cos(wt).

3. #2.46

4. Either #2.58 or #2.62. Extra credit: both!

Solutions: 1 2 3

Symon, Chapter 3: #11, 13, 23, 24, 25

Solutions: 1 2 3

Exam 1 Solution, 1, 2

Modify feqma.m to make the oscillator ISOTROPIC, but leave the initial conditions the same. Check how well the solver manages to respect the conservation of angular momentum, and print a graph of one component of angular momentum over time.

Symon, Chapter 3: #43, 44, 45, 46, 48

Solutions: 1 2 3 4

Solution

Symon, Chapter 4: #4, 5, 6, 11, 13, 35

Extra credit, fun problem: #14

Solutions: 1 2 3 4 5

Symon, Chapter 5: #4, 5, 7, 14, 15

Symon, Chapter 9: #15

Solutions: 1 2 3 4

Symon, Chapter 4: #12, 28

Symon, Chapter 5: #12

Symon, Chapter 9: #10

Solutions: 1 2 3 4

Midterm Exam 2 Solutions: 1 2 3a 3b 4a 4b

Assignment 11: Due Wednesday, April 21

Symon, Chapter 7: #1(a), 2, 7, 11

Solutions: 1 2 3

Assignment 12: Due Wednesday, April 28

Symon, Chapter 7: #16

Note that the MKS unit of magnetic field, the Tesla, is 10⁴ Gauss.

Symon, Chapter 4: #40

In the above problem, take m1=m2=m3, and k1=k2

Symon, Chapter 12: #3, 4

Solutions: 1 2 3 4 5 6

Chapter 2, #21, 25, 30

Chapter 3, #38, 41

Chapter 4, #11

Chapter 7, #4, 5

Chapter 12, #5